2025/07/01 by Andrew James Bruce, Bruce, Andrew James
Physics and Astronomy · #Black Holes and Theoretical Physics #Astrophysical Phenomena and Observations #Pulsars and Gravitational Waves Research
paper · pdf · doi:10.48550/arxiv.2507.00544
Carrollian field theories are usually understood as limits of relativistic theories. In this note, we use Carrollian ℝ^×-bundles equipped with a principal connection to construct Carrollian sigma models intrinsically. The resulting theories are neither ``electric'' nor ``magnetic'' in the usual sense. As a physically suggestive example, we derive a Carrollian wave equation governing the dynamics of a scalar field on the event horizon of a Schwarzschild black hole.